Three-loop form factors for Higgs boson pair production in the large top mass limit

TL;DR

This paper calculates three-loop virtual corrections to Higgs boson pair production in the large top mass limit, providing detailed form factor expansions and analytic results to improve theoretical predictions.

Contribution

It presents the first five and eight expansion terms for box and triangle form factors at NNLO, along with analytic results in the soft-virtual approximation, advancing precision calculations.

Findings

Computed five expansion terms for box form factors

Computed eight expansion terms for triangle form factor

Provided analytic results in the soft-virtual approximation

Abstract

We consider the virtual corrections to Higgs boson pair production at next-to-next-to-leading order, in the large top quark mass limit. We compute five expansion terms for the box-type form factors and eight expansion terms for the triangle form factor, which serve as useful input for the construction of approximations. We present analytic results for the form factors in the soft-virtual approximation. From a technical point of view the calculation is quite challenging since huge intermediate expressions are produced. We describe our methods and optimizations to overcome these difficulties, which might be useful for other calculations.